Assume that if you were to interview the entire population of Detroit, exactly 18.6% would say that

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Assume that if you were to interview the entire population of Detroit, exactly 18.6% would say that they are ready to buy your product. You plan to interview a representative random sample of 250 people. Find the (approximate) probability that your observed sample percentage is overoptimistic, where this is defined as the observed percentage exceeding 22.5%.
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